Question

An angle is one-fifth of its supplement find the measure of the angle

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Answer 1

150° .

Solution :-

Let one angle = x°

It’s supplementary angle = ( 180 – x )°

According to the problem given ,

=> x = (180 – x ) / 5

=> 5x = 180 – x

=> 5x + x = 180

=> 6x = 180

=> x = 180/6

=> x = 30°

Therefore ,

First angle = x = 30°

It’s supplement = 180 – x

= 180 – 30

= 150°

Hence, the measure of the angle is 150°.

Answer 2

Answer:

LET THE SUPPLEMENT ANGLE BE X.

THEN OTHER ANGLE = 1/5X = X/5

THEIR SUM = 180 [SUPPLEMENTARY ANGLES]

SO,

X + X/5 = 180

=> 6X = 180 × 5

=> X = 30 × 5 = 150

OTHER ANGLE = X/5 = 150/5 = 30

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